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An upper and lower solution approach for singular boundary value problems with sign changing non‐linearities
Author(s) -
Agarwal Ravi P.,
O'Regan Donal
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.300
Subject(s) - mathematics , sign (mathematics) , boundary value problem , singular solution , fixed point theorem , term (time) , order (exchange) , mathematical analysis , schauder fixed point theorem , value (mathematics) , pure mathematics , brouwer fixed point theorem , physics , statistics , finance , quantum mechanics , economics
We obtain via Schauder's fixed point theorem new results for singular second‐order boundary value problems where our non‐linear term f ( t , y , z ) is allowed to change sign. In particular, our problem may be singular at y =0, t =0 and/or t =1. Copyright © 2002 John Wiley & Sons, Ltd.